Angular Momentum Quantum Number

# Angular Momentum Quantum Number - at the origin m can take...

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Angular Momentum Quantum Number ( l ) The angular momentum quantum number describes the shape of the orbital. The angular momentum number (or subshell) can be represented either by a number (any integer from 0 up to n -1) or by a letter ( s, p, d, f, g, and then up the alphabet), with 0 corresponding to s, 1 to p, 2 to d, and so on. For example: when n = 1, l can only equal 0; meaning that shell n = 1 has only an s orbital ( l = 0). when n = 3, l can equal 0, 1, or 2; meaning that shell n = 3 has s, p, and d orbitals. s orbitals are spherical, whereas p orbitals are dumbbell-shaped. d orbitals and beyond are much harder to visually represent. Figure %: s and p atomic orbital shapes Magnetic Quantum Number ( m ) Gives the orientation of the orbital in space; in other words, the value of m describes whether an orbital lies along the x-, y-, or z-axis on a three-dimensional graph, with the nucleus of the atom

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Unformatted text preview: at the origin. m can take on any value from -l to l. For our purposes, it is only important that this quantum number tells us that for each value of n there may be up to one s-orbital, three p -orbitals, five d-orbitals, and so on. For example: The s orbital ( l = 0) has one orbital, since m can only equal 0. That orbital is spherically symmetrical about the nucleus. Figure %: s orbital The p orbital ( l = 1) has three orbitals, since m = -1, 0, and 1. These three orbitals lie along the x -, y-, and z-axes. Figure %: p orbitals The d orbital ( l = 2) has five orbitals, since m = -2, -1, 0, 1, and 2. It is far more difficult to describe the orientation of d orbitals, as you can see: Figure %: d orbitals...
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## This note was uploaded on 11/14/2011 for the course CHEM ch 101 taught by Professor - during the Fall '10 term at Montgomery.

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Angular Momentum Quantum Number - at the origin m can take...

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